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Finding the Fourth Proportional to 24,840.19, 34,279 and 13,509.49

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Solution

The fourth proportional to 24,840.19, 34,279 and 13,509.49 is: 18,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,840.19 : 34,279 = 13,509.49 : x
  2. Step 2: Convert to fraction form
    24,840.19/34,279 = 13,509.49/x
  3. Step 3: Cross multiply
    24,840.19x = 34,279 × 13,509.49
  4. Step 4: Simplify right side
    24,840.19x = 463,091,807.71
  5. Step 5: Solve for x
    x = 463,091,807.71/24,840.19
  6. Step 6: Final answer
    x = 18,642.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.